Summary
Although the phenomenon of 1/f noise in heart rate has been known for more than two decades, ours has been the first systematic study showing the importance of antagonistic dynamics between the two branches of the autonomic nervous system
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Struzik ZR, Hayano J, Sakata S, Kwak S, Yamamoto Y. 1/f scaling in heart rate requires antagonistic autonomic control. Phys Rev Rapid Communication 2004; E70: 050901(R).
Kobayashi M, Musha T. 1/f Fluctuation of heartbeat period. IEEE Trans Biomed Eng BME 1982; 29: 456–457.
Peng CK, Mietus J, Hausdorff JM, Havlin S, Stanley HE, Goldberger AL. Long-range anticorrelations and non-Gaussian behavior of the heartbeat. Phys Rev Lett 1993; 70: 1343–1346.
Saul JP, Albrecht P, Berger RD, Cohen RJ. Analysis of long term heart rate variability: methods, 1/f scaling and implications. Comp Cardiol 1987; 14: 419–422.
Yamamoto Y, Hughson RL. On the fractal nature of heart rate variability in humans: effects of data length and β-adrenergic blockade. Am J Physiol (Regulatory Integrative Comp Physiol 35) 1994; 266: R40–R49.
Ivanov PC, Amaral LAN, Goldberger AL, Havlin S, Rosenblum MG, Struzik ZR, Stanley HE. Multifractality in human heart rate dynamics. Nature 1999; 399: 461–465.
Amaral LAN, Ivanov PC, Aoyagi N, Hidaka I, Tomono S, Goldberger AL, Stanley HE, Yamamoto Y. Behavioral-independent features of complex heartbeat dynamics. Phys Rev Lett 2001; 86: 6026–6029.
Kiyono K, Struzik ZR, Aoyagi N, Sakata S, Hayano J, Yamamoto Y. Critical scale invariance in healthy human heart rate. Phys Rev Lett 2004; 93: 178103.
Bak P, Tang C, Wiesenfeld K. Self-organized criticality: An explanation of 1/f noise. Phys Rev Lett 1987; 59: 381–384.
Struzik ZR, Taking the pulse of the economy. Quantitative Finance 2003; 3(4): C78–C82.
Sakata S, Hayano J, Mukai S, Okada A, Fujinami T. Aging and spectral characteristics of the nonharmonic component of 24-h heart rate variability. Am J Physiol 1999; 276: R1724–R1731.
Goldberger AL, Amaral LAN, Glass L, Havlin S, Hausdorff JM, Ivanov PC, Mark RG, Mietus JE, Moody GB, Peng CK, Stanley HE. PhysioBank, PhysioToolkit, and PhysioNet: components of a new research resource for complex physiologic signals. Circulation 2000; 101: e215–e220.
Kienzle MG, Ferguson DW, Birkett CL, Myers GA, Berg WJ, Mariano DJ. Clinical, hemodynamic and sympathetic neural correlates of heart rate variability in congestive heart failure. Am J Cardiol 1992; 69: 761–767.
Elam M, Sverrisdottir YB, Rundqvist DMB, Wallin BG, Macefield VG. Pathological sympathoexcitation: how is it achieved? Acta Physiol Scand 2003; 177: 405–411.
Saul JP, Arai Y, Berger RD, Lilly LS, Colucci WS, Cohen RJ. Assessment of autonomic regulation in chronic congestive heart failure by heart rate spectral analysis. Am J Cardiol 1988; 61: 1292–1299.
Oppenheimer DR. Lateral horn cells in progressive autonomic failure. J Neurol Sci 1980; 46: 393–404.
Matthew MR. Autonomic ganglia and preganglionic neurons in autonomic failure. in Autonomic Failure, C. J. Mathias and R. Bannister, eds, Oxford University Press 4 ed, 1999; 329–339.
Malliani A, Pagani M, Lombardi F, Cerutti S. Cardiovascular neural regulation explored in the frequency domain. Circulation 84 1991; 482–492.
Saul JP, Beat-to-beat variations of heart rate reflect modulation of cardiac autonomic outflow. News Physiol Sci 1990; 5: 32–37.
Peng CK, Havlin S, Stanley HE, Goldberger AL. Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos 1995; 5: 82–87.
Muzy JF, Bacry E, Arneodo A. The multifractal formalism revisited with wavelets. Int J Bifurc Chaos 1994; 4: 245–302.
Vicsek T. Fractal Growth Phenomena. World Scientific Singapore 1993; 2 ed.
Peng CK, Buldyrev SV, Hausdorff JM, Havlin S, Mietus JE, Simons M, Stanley HE, Goldberger AL. Non-equilibrium dynamics as an indispensable characteristic of a healthy biological system. Integrative Physiol Behav Sci 1994; 29: 2830293.
West BJ. Physiology in fractal dimensions: error tolerance. Ann Biomed Eng 1990; 18: 135–149.
Taylor EW, Jordan D, Coote JH. Central control of the cardiovascular and respiratory systems and their interactions in vertebrates. Physiol Rev 1999; 79: 855–916.
Carlson JM, Doyle J. Highly optimized tolerance: A mechanism for power laws in designed systems. Phys Rev 1999; E60: 1412–1427.
Ivanov PC, Amaral LAN, Goldberger AL, Stanley HE. Stochastic feedback and the regulation of biological rhythms. Europhys Lett 1998; 43: 363–368.
Aoyagi N, Ohashi K, Yamamoto Y. Frequency characteristics of long-term heart rate variability during constant routine protocol. Am J Physiol 2003; 285: R171–R176.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Birkhäuser Verlag Basel
About this paper
Cite this paper
Struzik, Z.R., Hayano, J., Sakata, S., Kwak, S., Yamamoto, Y. (2005). Dual Antagonistic Autonomic Control Necessary for 1/f Scaling in Heart Rate. In: Losa, G.A., Merlini, D., Nonnenmacher, T.F., Weibel, E.R. (eds) Fractals in Biology and Medicine. Mathematics and Biosciences in Interaction. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7412-8_13
Download citation
DOI: https://doi.org/10.1007/3-7643-7412-8_13
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7172-2
Online ISBN: 978-3-7643-7412-9
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)